When a fan is switched on, it achieves an angular acceleration of 250 rad/s2. after 1.2 s, the angular velocity in revolutions per minute would be 1989 rev/minute.
What is Velocity?
The total displacement covered by any object per unit of time is known as velocity. The velocity of an object depends on the magnitude as well as the direction of the object.
velocity = total displacement /time
As given in the problem When a fan is switched on, it achieves an angular acceleration of 250 rad/s2. after 1.2 s,
By using the equation of motion for the rotational motion,
α = ω₀ + ωt
250 = 1.2 ω
ω = 250/1.2
= 208.33 rad/s
2π radian = 1 revolution
1 radian = 1/2π revolution
208.33 rad = 208.33 /2π revolution
=33.15 revolution
The number of revolutions in one minute = 33.15 ×60
=1989
Thus, the angular velocity comes out to be 1989 rev/minute.
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